10201013033300 has 36 divisors (see below), whose sum is σ = 22140270861660. Its totient is φ = 4079654507520.

The previous prime is 10201013033273. The next prime is 10201013033327. The reversal of 10201013033300 is 333031010201.

It is an interprime number because it is at equal distance from previous prime (10201013033273) and next prime (10201013033327).

It can be written as a sum of positive squares in 6 ways, for example, as 589314158224 + 9611698875076 = 767668^2 + 3100274^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8837405 + ... + 9924804.

It is an arithmetic number, because the mean of its divisors is an integer number (615007523935).

Almost surely, 2^{10201013033300} is an apocalyptic number.

10201013033300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201013033300 is an abundant number, since it is smaller than the sum of its proper divisors (11939257828360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10201013033300 is a wasteful number, since it uses less digits than its factorization.

10201013033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18767660 (or 18767653 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 10201013033300 its reverse (333031010201), we get a palindrome (10534044043501).

The spelling of 10201013033300 in words is "ten trillion, two hundred one billion, thirteen million, thirty-three thousand, three hundred".